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Finding the Fourth Proportional to 406,667.28, 610,082.52 and 140,437.56

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Solution

The fourth proportional to 406,667.28, 610,082.52 and 140,437.56 is: 210,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,667.28 : 610,082.52 = 140,437.56 : x
  2. Step 2: Convert to fraction form
    406,667.28/610,082.52 = 140,437.56/x
  3. Step 3: Cross multiply
    406,667.28x = 610,082.52 × 140,437.56
  4. Step 4: Simplify right side
    406,667.28x = 85,678,500,507.45
  5. Step 5: Solve for x
    x = 85,678,500,507.45/406,667.28
  6. Step 6: Final answer
    x = 210,684.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.